Question

Alan worked for 2 58 hours doing yard work. He spent 1 12 hours raking leaves. He spent the rest of the time cleaning out the flower bed. How long did he spend cleaning out the flower bed?

Answer 1

1 13/24

Ignore this btw that is the answer i’m just writing this cause it says i have to write 20 letters-

Answer 2

Answer:

If it takes Luke 3 hours to rake a yard, and Don 5 hours to rake the same yard, how long will it take them to rake the yard together.
First we do it in our head. Take everything to 15 hours, the LCM of 3 hours and
and 5 hours. Since Luke can rake 1 yard in 3 hours, he can therefore rake 5
yards in 15 hours. Similarly since Don can rake 1 yard in 5 hours, he can
therefore rake 3 yards in 15 hours. So that's 5 yards plus 3 yards they can
rake in working simultaneously for 15 hours, therefore they rake 8 yards in 15
hours or 1 yard in 15%2F8ths of an hour. That's 1%267%2F8ths hours.

By algebra. Make this chart:


Yards raked Hours Rate in yards/hr
Luke 1 3 1/3
Don 1 5 1/5
Together 1 x 1/x

Luke's rate + Don's rate = their rate together
1/3 + 1/5 = 1/x

Solve that by clearing of fractions and you'll get the same answer as
when we do it in our head.